71771 ÷ 9 = 7974 R5
Let's divide 71771 by 9.

Step 1:
9 goes into 7 0 times with a remainder of 7.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 7 to get 7.
Bring next digit (1) of the dividend behind the 7 and repeat the process: 71 / 9

Step 2:
9 goes into 71 7 times with a remainder of 8.
Write down 7 as next digit of of the result. 
Result so far: 7
Subtract 63 from 71 to get 8.
Bring next digit (7) of the dividend behind the 8 and repeat the process: 87 / 9

Step 3:
9 goes into 87 9 times with a remainder of 6.
Write down 9 as next digit of of the result. 
Result so far: 79
Subtract 81 from 87 to get 6.
Bring next digit (7) of the dividend behind the 6 and repeat the process: 67 / 9

Step 4:
9 goes into 67 7 times with a remainder of 4.
Write down 7 as next digit of of the result. 
Result so far: 797
Subtract 63 from 67 to get 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 9

Step 5:
9 goes into 41 4 times with a remainder of 5.
Write down 4 as next digit of of the result. 
Result so far: 7974
Subtract 36 from 41 to get 5.

The final result is 7974 with a remainder of 5.